Triple
T3836597
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Morse–Kelley set theory by class–set distinction |
E91147
|
entity |
| Predicate | avoidsParadox |
P17548
|
FINISHED |
| Object | Burali-Forti paradox |
E14267
|
NE FINISHED |
How this triple was built (2 steps)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Burali-Forti paradox | Statement: [Morse–Kelley set theory by class–set distinction, avoidsParadox, Burali-Forti paradox]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Burali-Forti paradox Context triple: [Morse–Kelley set theory by class–set distinction, avoidsParadox, Burali-Forti paradox]
-
A.
Burali-Forti paradox
chosen
The Burali-Forti paradox is a foundational logical contradiction in set theory that arises from considering the set of all ordinal numbers, showing that such a totality cannot consistently exist as a set.
-
B.
Cantor’s paradox
Cantor’s paradox is a foundational result in set theory showing that the “set of all sets” cannot exist because its power set would have a strictly larger cardinality, leading to a contradiction.
-
C.
Russell’s paradox
Russell’s paradox is a foundational logical contradiction in naive set theory that reveals problems with sets that contain themselves, leading to major developments in modern logic and the axiomatization of set theory.
-
D.
Barber paradox
The Barber paradox is a self-referential logical puzzle about a barber who shaves all and only those who do not shave themselves, illustrating a contradiction similar to Russell’s paradox.
-
E.
Berry paradox
The Berry paradox is a self-referential logical paradox arising from phrases like “the smallest positive integer not definable in under eleven words,” which appears to define exactly such a number while claiming it cannot be defined.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (3 batches)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69aed960b538819096561c8ed448dec9 |
completed | March 9, 2026, 2:29 p.m. |
| NER | Named-entity recognition | batch_69aef90ce3088190b82e8421ce9a4005 |
completed | March 9, 2026, 4:45 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69b51228a7a48190bc42898be15b450b |
completed | March 14, 2026, 7:45 a.m. |
Created at: March 9, 2026, 3:18 p.m.